Finding the Third Proportional to 1,199.86 and 1,790.54

Step by Step Solution

1. Step 1: Write the proportion equation
   1,199.86 : 1,790.54 = 1,790.54 : x
2. Step 2: Convert to fraction form
   1,199.86/1,790.54 = 1,790.54/x
3. Step 3: Cross multiply
   1,199.86x = 1,790.54 × 1,790.54
4. Step 4: Simplify right side
   1,199.86x = 3,206,044.12
5. Step 5: Solve for x
   x = 3,206,044.12/1,199.86
6. Step 6: Final answer
   x = 2,672.02